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# The number of the people who were inoculated with vaccine M

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Senior Manager
Joined: 15 Aug 2004
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The number of the people who were inoculated with vaccine M [#permalink]  31 Aug 2006, 00:27
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0% (00:00) correct 0% (00:00) wrong based on 0 sessions
The number of the people who were inoculated with vaccine M is twice the number of the people who were inoculated with vaccine P. The number of the people inoculated both M and P is 5000 and is twice the number only M. How many people were inoculated only P?
Director
Joined: 13 Nov 2003
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There seems to be something wrong with the question. Please, double check
Current Student
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Re: PS - Vaccine [#permalink]  31 Aug 2006, 03:06
sumitsarkar82 wrote:
The number of the people who were inoculated with vaccine M is twice the number of the people who were inoculated with vaccine P. The number of the people inoculated both M and P is 5000 and is twice the number only M. How many people were inoculated only P?

~3332 people were innoculated with P.

Two simple equations:

1. M=2P
2. M+P=5000

Sub M for P

P = 1666.666666666666 is a repeating non- whole number

Plug P back into equation 1: M = 3332.222222222 repeating

Only 3332 and 1666 come close.
Director
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Agree, most probably P=2M
Then M=7500, P=15000, an P only to 10 000
If the original version M=2P then M=7500, P=3750, which contradicts the stem that says that P&M is 5000
Current Student
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Source?
Current Student
Joined: 29 Jan 2005
Posts: 5256
Followers: 21

Kudos [?]: 108 [0], given: 0

sumitsarkar82 wrote:
GMATT73 wrote:
sumitsarkar82 wrote:
GMATT73 wrote:
Source?

Unknown...

the answer is 10000 but only when P=2M

But the info in the question gives us M=2P.

Seems like a flaw in the wording.
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